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Finding the Fourth Proportional to 11,459.37, 15,813.90 and 6,983.13

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Solution

The fourth proportional to 11,459.37, 15,813.90 and 6,983.13 is: 9,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.37 : 15,813.90 = 6,983.13 : x
  2. Step 2: Convert to fraction form
    11,459.37/15,813.90 = 6,983.13/x
  3. Step 3: Cross multiply
    11,459.37x = 15,813.90 × 6,983.13
  4. Step 4: Simplify right side
    11,459.37x = 110,430,457.90
  5. Step 5: Solve for x
    x = 110,430,457.90/11,459.37
  6. Step 6: Final answer
    x = 9,636.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.